if the length of a rectangle is three times its width and its perimeter is 24cm what is the width and length? show all work

Verified Answer :

the area is 6 and 4, and the perimeter is 8 and 4

l = 3w

P = 24 cm

P = 2(l+w)

24 = 2(l+w)

24 = 2(3w+w)

24 = 24w

24 = 8w

w = 3

l = 3w

l = 3
3

l = 9 

P = 2(l+w)

24 = 2(9+3)

24 = 2(12)

24 = 24 

hope helped